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1 2014

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Numerical simulations of arteries with an adaptive finite element method

Fuksa A. K., Rachowicz W.

Journal of Theoretical and Applied Mechanics

2014

Vol. 52 nr 4

917--925

This paper presents applications of the adaptive FEM in computational biomechanics. The study involves finite deformation of artery walls built of layers of elastic, nearly incompressible (rubber-like) materials. The models are reinforced with nearly inextensible collagen fibres stretched along the directions close to the circumferential direction. A Total Lagrangian technique based on the displacement-pressure formulation is presented. Residual error estimates and finite element mesh adaptation strategies are developed. The procedures are illustrated for solutions of arteries under various load considerations.